Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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h-almost Ricci Solitons on Generalized Sasakian-space-forms

  • Received : 2022.08.30
  • Accepted : 2022.10.07
  • Published : 2022.12.31
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Abstract

The aim of this article is to study the h-almost Ricci solitons and h-almost gradient Ricci solitons on generalized Sasakian-space-forms. First, we consider h-almost Ricci soliton with the potential vector field V as a contact vector field on generalized Sasakian-space-form of dimension greater than three. Next, we study h-almost gradient Ricci solitons on a three-dimensional quasi-Sasakian generalized Sasakian-space-form. In both the cases, several interesting results are obtained.

Keywords

Acknowledgement

This work was supported by Department of Science and Technology (DST), Ministry of Science and Technology, Government of India, to the second author Amruthalakshmi M. R. (AMR) by providing financial assistance in the form of DST-INSPIRE Ferllowship(N0:DST/INSPIRE Fellowship/[IF 190869]) and also the fifth author Young Jin Suh(YJS) was supported by NRF-2018-R1D1A1B from National Research Foundation of Korea.

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